Quant Test for IBPS Clerk 2018 Prelim Exam Set – 03

Directions(1-5): Find the value of x and y and choose a required solution.

  1. 4x^2 – 39x + 56 = 0
    2y^2 = 5y + 33

    y>=x
    x>y
    y>x
    x>=y
    No relationship established.
    Option E
    4x^2 – 39x + 56 = 0
    => 4x^2 – 32x – 7x + 56 = 0
    => 4x(x-8) – 7(x-8) = 0
    => x = 8,7/4 2y^2 = 5y + 33
    =>2y^2 – 5y – 33 = 0
    => 2y^2 – 11y + 6y – 33 = 0
    => y(2y – 11) + 3(2y – 11) = 0
    => y = 11/2,-3
    No relationship established.

     

  2. x^2 – 3x – 28 = 0
    y^2 + 12y + 32 = 0

    x>y
    y>=x
    y>x
    No relationship established.
    x>=y
    Option E
    x^2 – 3x – 28 = 0
    =>x^2 – 7x + 4x – 28 = 0
    => x(x-7) +4(x-7) = 0
    => (x-7)(x+4) = 0
    => x = 7, -4
    y^2 + 12y + 32 = 0
    y^2 + 12y + 32 = 0
    =>y^2 + 8y + 4y + 32 = 0
    => y(y+8) + 4(y+8) = 0
    =>y = -4, -8
    x>=y

     

  3. x^2 + 27x + 180 = 0
    y^2 + 23y + 132 = 0

    x>=y
    No relationship established.
    y>x
    x>y
    y>=x
    Option E
    x^2 + 27x + 180 = 0
    =>x^2 + 12x + 15x + 180 = 0
    => x(x+12) + 15(x+12) = 0
    => x = -12, -15
    y^2 + 23y + 132 = 0
    =>y^2 + 11y + 12y + 132 = 0
    => y(y+11)+12(y+11) = 0
    =>y = -11, -12
    y>=x

     

  4. 4x + 7y = 76
    9x – 5y = 5

    No relationship established.
    y>x
    x>y
    x>=y
    y>=x
    Option B
    (4x + 7y = 76)*5
    (9x – 5y = 5)*7
    x = 5 y = 8
    y > x

     

  5. 3x^2 – 8x + 4 = 0
    8y^2 – 6y + 1 = 0

    y>=x
    No relationship established.
    x>=y
    y>x
    x>y
    Option E
    3x^2 – 8x + 4 = 0
    =>3x^2 – 6x – 2x + 4 = 0
    => 3x(x-2) – 2(x-2) = 0
    => x = 2, 2/3
    8y^2 – 6y + 1 = 0
    =>8y^2 – 2y – 4y + 1 = 0
    => 2y(4y-1) – 1(4y-1) = 0
    => y = ½, ¼
    x>y

     


  6. Directions(6-10):
    Study the following information carefully and answer the question given below it :
    Percentage proportion of income of seven companies in a state during financial year – 2013 – 14 :


    Percentage profit of these companies during the same Financial Year :

  7. What is the ratio of the expenditure of company D to company C ?
    81 : 10
    80 : 13
    79 : 11
    85 : 19
    80 : 11
    Option E
    Required ratio = 80 : 11

     

  8. Which of the following companies has recorded the maximum profit in this financial year if the combined income of these companies is 4500 crore ?
    5400
    4100
    2500
    3150
    3250
    Option A
    5% = 750
    1 % = 150
    45*150/125*100 = 5400 crore

     

  9. If the income of company D and B together is Rs.270 crore then fined the profit of company B in that year ?
    20.15
    11.75
    17.17
    13.35
    31.20
    Option B
    (20 % + 10 %) = 270
    10% = 90
    => IB = 90
    E(B) = 90*100/115 = 78.26
    =>PB = 11.739 == 11.75 crore

     

  10. If in the given financial year income of company A was 440 crore. What was the approximately expenditure of company C in that year ?
    10
    22
    35
    15
    18
    Option B
    20 % = 440
    1% = 440/20 = 22

     

  11. If the expenditure of company D is 750 crore, what was the total income of all the given companies together ?
    4250
    3300
    3020
    4125
    4000
    Option D
    20%*100/110*Total = 750
    => Total = 4125

     


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